Not true. She has what is called “birthright citizenship.”
“Birthright citizenship in the United States is the legal principle that any person born on U.S. soil automatically and immediately becomes a U.S. citizen.”
https://www.thoughtco.com/birthright-citizenship-4707747
Are you saying that a citizen of the USA cannot run for the presidency? If Ms. Haley is not a US citizen, of which country is she?
What country are her parents from? Were either of her parents citizens of these United States at the time of her birth?